8090106800 has 60 divisors (see below), whose sum is σ = 20106733920. Its totient is φ = 3124450560.

The previous prime is 8090106781. The next prime is 8090106809. The reversal of 8090106800 is 86010908.

It is not an unprimeable number, because it can be changed into a prime (8090106809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 337112 + ... + 360311.

It is an arithmetic number, because the mean of its divisors is an integer number (335112232).

Almost surely, 2^8090106800 is an apocalyptic number.

8090106800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8090106800 is an abundant number, since it is smaller than the sum of its proper divisors (12016627120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8090106800 is a wasteful number, since it uses less digits than its factorization.

8090106800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697470 (or 697459 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 8090106800 is about 89945.0209850440. The cubic root of 8090106800 is about 2007.4808833044.

The spelling of 8090106800 in words is "eight billion, ninety million, one hundred six thousand, eight hundred".